An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 kg and shows a pressure of 2.5 atm. In the course of use at 27^(@)C, the weight of the full cyliner is reduced to 23.2 kg. Find out the volume of n-butane in cubic meters used up at 27^(@)C and 1 atm.(Molecular weight of n-butane = 58).

An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 k

1.	An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 kg and shows a pressure of 2.5 atm. In the course of use at 27^(@)C, the weight of the full cyliner is reduced to 23.2 kg. Find out the volume of n-butane in cubic meters used up at 27^(@)C and 1 atm.(Molecular weight of n-butane = 58).
Answer» <P> SOLUTION :Mass of n-butane used up`=29.0-23.2=5.8kg` `"No. of moles of n-butane used up"=(5.8xx1000g)/("58 g mol"^(-1))=100` To calculate volume of 100 moles of the gas at `27^(@)C` and 1 atm pressure, APPLY PV = nRT `"or"v=(nRT)/(P)=(100molxx0.0821" L atm K"^(-1)mol^(-1)xx300K)/("1 atm")="2463 L = 2.463 m"^(3)(1m^(3)=10^(3)L)`